Passive Solar Heating (UMAP)

A unit that relates linear algebra through the topic of passive solar heating. A problem in solar heating is formulated and solved in a mathematical context. The primary aim of this unit is to acquaint the student with some of the underlying principles and practices of solar heating, to illustrate mathematical modeling, and to introduce concepts of numerical linear algebra.

Table of Contents:

1. INTRODUCTION

2. BASIC PRINCIPLES

3. HEAT CONDUCTION THROUGH A WALL
3.1 Formulating the Problem
3.2 Obtaining the Equations
3.3 Diagraming the Equations
3.4 Representing the Equations in Matrix Form
3.5 Solving the Equations I
3.6 Example I

4. TEMPERATURE DISTRBIUTION IN A HOUSE
4.1 Preliminary Remarks
4.2 The House Specifications
4.3 Graphical Representation of the House
4.4 The House Temperature Equations .
4.5 Solving the Equations II

5. ANSWERS TO EXERCISES

SPECIAL ASSISTANCE SUPPLEMENT

APPENDIX